Respuesta :
Answer:
45 degrees
Step-by-step explanation:
The formula to find the sum of all the interior angles in an "n-gon" (n is a variable that stands for the numbers of sides, ex) 20-gon --> 20 sided polygon) is [tex]180(n-2)[/tex].
Let's plug in 100 to find the sum of all the interior angles in a 100-gon.
[tex]180(100-2)[/tex]
I would rather distribute than simplify the parentheses and have to multiply 180 by 98.
So:
[tex]18000-360[/tex]
= [tex]17640[/tex] degrees
[REMEMBER, IT WAS NOT GIVEN THAT THIS POLYGON IS REGULAR, SO DO NOT DIVIDE 17640 BY 100]
Now to find the last angle, we can just subtract since we are given the value of 99 of the 100 angles (17595 degrees).
So the last angle is [tex]17640-17595=45[/tex] degrees
